Respuesta :

As we are given

Opposite side of the angle B=24

Hypotenuse =25

[tex] \\
\
sin \theta=\frac{Opposite}{Hypotenuse}\\
\\
\
SinB=\frac{24}{25}\\ [/tex]

The given triangle is a right triangle right angled at angle C. For angle B the adjacent side is BC ,the side opposite to angle B is AC while AB is hypotenuse. Sin of any angle is ratio of opposite and hypotenuse.

Sin[tex] \frac{opposite}{hypotenuse} [/tex]

The opposite in the figure is 24 and hypotenuse is 25

Substituting the values of opposite and hypotenuse from figure we have:

Sin B=[tex] \frac{24}{25} [/tex]